1864420416 has 196 divisors, whose sum is σ = 5621845500. Its totient is φ = 613122048.

The previous prime is 1864420387. The next prime is 1864420477. The reversal of 1864420416 is 6140244681.

It is a happy number.

1864420416 is a `hidden beast` number, since 1 + 8 + 644 + 2 + 0 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 729000000 + 1135420416 = 27000^2 + 33696^2 .

It is a super-2 number, since 2×1864420416² = 6952126975195226112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4152160 + ... + 4152608.

Almost surely, 2^1864420416 is an apocalyptic number.

1864420416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1864420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810922750).

1864420416 is an abundant number, since it is smaller than the sum of its proper divisors (3757425084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1864420416 is an frugal number, since it uses more digits than its factorization.

1864420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1864420416 is about 43178.9348641210. The cubic root of 1864420416 is about 1230.7824171215.

It can be divided in two parts, 18644 and 20416, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 1864420416 in words is "one billion, eight hundred sixty-four million, four hundred twenty thousand, four hundred sixteen".